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Finding the Third Proportional to 161,586 and 348,984

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Solution

The third proportional to 161,586 and 348,984 is: 753,715.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,586 : 348,984 = 348,984 : x
  2. Step 2: Convert to fraction form
    161,586/348,984 = 348,984/x
  3. Step 3: Cross multiply
    161,586x = 348,984 × 348,984
  4. Step 4: Simplify right side
    161,586x = 121,789,832,256
  5. Step 5: Solve for x
    x = 121,789,832,256/161,586
  6. Step 6: Final answer
    x = 753,715.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.